/*
 * Java Genetic Algorithm Library (@__identifier__@).
 * Copyright (c) @__year__@ Franz Wilhelmstötter
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 *
 * Author:
 *    Franz Wilhelmstötter (franz.wilhelmstoetter@gmail.com)
 */
package io.jenetics.distassert.assertion;

import org.apache.commons.math4.legacy.analysis.integration.SimpsonIntegrator;
import org.testng.annotations.Test;

import io.jenetics.distassert.distribution.NormalDistribution;
import io.jenetics.distassert.observation.Interval;

/**
 * @author <a href="mailto:franz.wilhelmstoetter@gmail.com">Franz Wilhelmstötter</a>
 */
public class RangedDistributionTest {

	@Test
	public void cdf() {
		final var interval = new Interval(0.0, 10.0);
		final var normal = new NormalDistribution(5, 2);
		final var ranged = RangedDistribution.of(normal, interval);

		final var pdf = ranged.pdf();
		final var cdf = ranged.cdf();

		final var integrator = new SimpsonIntegrator();
		var area = integrator.integrate(
			1000_000_000,
			pdf::apply,
			interval.min(),
			interval.max()
		);

		System.out.println("AREA: " + area);
		System.out.println("x0: " + cdf.apply(interval.min() + 0.0001));
		System.out.println("x1: " + cdf.apply(interval.max() - 0.0001));
	}

}
